108672000 has 176 divisors, whose sum is σ = 362761152. Its totient is φ = 28876800.

The previous prime is 108671999. The next prime is 108672013. The reversal of 108672000 is 276801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383859 + ... + 384141.

Almost surely, 2^108672000 is an apocalyptic number.

108672000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181380576).

108672000 is an abundant number, since it is smaller than the sum of its proper divisors (254089152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108672000 is an equidigital number, since it uses as much as digits as its factorization.

108672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 108672000 is about 10424.5863227276. The cubic root of 108672000 is about 477.2059902563.

The spelling of 108672000 in words is "one hundred eight million, six hundred seventy-two thousand".